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Finding the Fourth Proportional to 9,904.80, 14,855.92 and 3,748

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Solution

The fourth proportional to 9,904.80, 14,855.92 and 3,748 is: 5,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.80 : 14,855.92 = 3,748 : x
  2. Step 2: Convert to fraction form
    9,904.80/14,855.92 = 3,748/x
  3. Step 3: Cross multiply
    9,904.80x = 14,855.92 × 3,748
  4. Step 4: Simplify right side
    9,904.80x = 55,679,988.16
  5. Step 5: Solve for x
    x = 55,679,988.16/9,904.80
  6. Step 6: Final answer
    x = 5,621.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.